10 kg of water is cooled from 35 °C to 5 °C in a reversible refrigerator. The refrigerator extracts heat from the water and rejects heat to the ambient at a constant temperature of 40 °C. The refrigerator casing is perfectly insulated. The specific heat of water is 4.2 kJ/kg.K. (a) Starting from first principles, write down the necessary thermodynamic equations describing this unsteady cooling process of the water. (b) For the cooling operation, find the total heat removed from the water and the total heat delivered to the ambient. (c) Determine the overall coefficient of performance (COP) of the refrigerator.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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3 10 kg of water is cooled from 35 °C to 5 °C in a reversible refrigerator. The refrigerator
extracts heat from the water and rejects heat to the ambient at a constant
temperature of 40 °C. The refrigerator casing is perfectly insulated. The specific heat
of water is 4.2 kJ/kg.K.
(a) Starting from first principles, write down the necessary thermodynamic
equations describing this unsteady cooling process of the water.
(b) For the cooling operation, find the total heat removed from the water and the
total heat delivered to the ambient.
(c) Determine the overall coefficient of performance (COP) of the refrigerator.
Transcribed Image Text:3 10 kg of water is cooled from 35 °C to 5 °C in a reversible refrigerator. The refrigerator extracts heat from the water and rejects heat to the ambient at a constant temperature of 40 °C. The refrigerator casing is perfectly insulated. The specific heat of water is 4.2 kJ/kg.K. (a) Starting from first principles, write down the necessary thermodynamic equations describing this unsteady cooling process of the water. (b) For the cooling operation, find the total heat removed from the water and the total heat delivered to the ambient. (c) Determine the overall coefficient of performance (COP) of the refrigerator.
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